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100131311032212 = 2234326137361923
BaseRepresentation
bin10110110001000110100011…
…001110011001011110010100
3111010112110102020012010000010
4112301012203032121132110
5101111022411111012322
6552543404513520220
730043151142406035
oct2661064316313624
9433473366163003
10100131311032212
11299a54a57291a9
12b292151573070
1343b445a819085
141aa254a470a8c
15b899a27a220c
hex5b11a3399794

100131311032212 has 72 divisors (see below), whose sum is σ = 239589811693344. Its totient is φ = 32547705011136.

The previous prime is 100131311032183. The next prime is 100131311032223. The reversal of 100131311032212 is 212230113131001.

It is a super-2 number, since 2×1001313110322122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9920283 + ... + 17282205.

Almost surely, 2100131311032212 is an apocalyptic number.

100131311032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100131311032212 is an abundant number, since it is smaller than the sum of its proper divisors (139458500661132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100131311032212 is a wasteful number, since it uses less digits than its factorization.

100131311032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7362629 (or 7362584 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 100131311032212 its reverse (212230113131001), we get a palindrome (312361424163213).

The spelling of 100131311032212 in words is "one hundred trillion, one hundred thirty-one billion, three hundred eleven million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 613 1226 1839 1849 2452 3678 3698 5547 7356 7396 11094 22188 26359 52718 79077 105436 158154 316308 1133437 2266874 3400311 4533748 6800622 7361923 13601244 14723846 22085769 29447692 44171538 88343076 316562689 633125378 949688067 1266250756 1899376134 3798752268 4512858799 9025717598 13538576397 13612195627 18051435196 27077152794 27224391254 40836586881 54154305588 54448782508 81673173762 163346347524 194052928357 388105856714 582158785071 776211713428 1164317570142 2328635140284 8344275919351 16688551838702 25032827758053 33377103677404 50065655516106 100131311032212